Confidence limits on one-stage model parameters in benchmark risk assessment

Brooke E. Buckley, Walter W. Piegorsch, R. Webster West

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


In modern environmental risk analysis, inferences are often desired on those low dose levels at which a fixed benchmark risk is achieved. In this paper, we study the use of confidence limits on parameters from a simple one-stage model of risk historically popular in benchmark analysis with quantal data. Based on these confidence bounds, we present methods for deriving upper confidence limits on extra risk and lower bounds on the benchmark dose. The methods are seen to extend automatically to the case where simultaneous inferences are desired at multiple doses. Monte Carlo evaluations explore characteristics of the parameter estimates and the confidence limits under this setting.

Original languageEnglish (US)
Pages (from-to)53-62
Number of pages10
JournalEnvironmental and Ecological Statistics
Issue number1
StatePublished - 2009


  • Benchmark dose
  • Bootstrap
  • Dose - response model
  • Environmental risk analysis
  • Quantal dose response
  • Quantitative risk assessment
  • Resampling
  • Simultaneous inferences
  • Weibull

ASJC Scopus subject areas

  • Statistics and Probability
  • Environmental Science(all)
  • Statistics, Probability and Uncertainty


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